The structure of parafermion vertex operator algebras

Details The structure of parafermion vertex operator algebras The structure of parafermion vertex operator algebras

2009-04-17

arxiv.org/abs/0904.2758v1

Mathematics

Quantum Algebra

12 pages

Scientific paper

It is proved that the parafermion vertex operator algebra associated to the
irreducible highest weight module for the affine Kac-Moody algebra A_1^{(1)} of
level k coincides with a certain W-algebra. In particular, a set of generators
for the parafermion vertex operator algebra is determined.

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